1008149625 has 128 divisors (see below), whose sum is σ = 2152550400. Its totient is φ = 456062400.

The previous prime is 1008149609. The next prime is 1008149629. The reversal of 1008149625 is 5269418001.

1008149625 is a `hidden beast` number, since 10 + 0 + 8 + 14 + 9 + 625 = 666.

1008149625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1008149625 - 2⁴ = 1008149609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1008149625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008149629) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3283722 + ... + 3284028.

It is an arithmetic number, because the mean of its divisors is an integer number (16816800).

Almost surely, 2^1008149625 is an apocalyptic number.

1008149625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1008149625 is an abundant number, since it is smaller than the sum of its proper divisors (1144400775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1008149625 is a wasteful number, since it uses less digits than its factorization.

1008149625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1008149625 is about 31751.3720175995. The cubic root of 1008149625 is about 1002.7091952992.

The spelling of 1008149625 in words is "one billion, eight million, one hundred forty-nine thousand, six hundred twenty-five".